However, he did not name her, prompting a frenzied media effort to track down the woman.

Late Tuesday, Radar and Star named Baene, and reported she worked for Schwarzenegger and Shriver for 20 years before retiring in January.

“She’s the one,” a source said.

A second source confirmed: “They have a son together.”

In a statement to the Los Angeles Times on Monday night, Schwarzenegger said, “After leaving the governor’s office I told my wife about this event, which occurred over a decade ago.

“I understand and deserve the feelings of anger and disappointment among my friends and family. There are no excuses and I take full responsibility for the hurt I have caused. I have apologized to Maria, my children and my family. I am truly sorry,” he added.

Schwarzenegger, 63, took financial responsibility for the child “from the start and continued to provide support,” the newspaper reported an unidentified source as saying.

On Tuesday, Shriver asked for compassion and privacy after the “heartbreaking” revelation.

“This is a painful and heartbreaking time,” she said in a statement to People. “As a mother, my concern is for the children. I ask for compassion, respect and privacy as my children and I try to rebuild our lives and heal.”

Shriver and the former California governor have four children together — Katherine, 21, Christina, 19, Patrick, 17, and 13-year-old Christopher.